Chapter 12: The Principle of Computational Equivalence


Section 1: Basic Framework

Page 715Notes

Section 2: Outline of the Principle

Page 716 Page 717 Page 718Notes

Section 3: The Content of the Principle

Page 719 Page 720 Page 721 Page 722 Page 723 Page 724 Page 725Notes

Section 4: The Validity of the Principle

Page 726 Page 727 Page 728 Page 729 Page 730 Page 731 Page 732 Page 733 Page 734Notes

Section 5: Explaining the Phenomenon of Complexity

Page 735 Page 736Notes

Section 6: Computational Irreducibility

Page 737 Page 738 Page 739 Page 740 Page 741 Page 742 Page 743 Page 744 Page 745 Page 746 Page 747 Page 748 Page 749Notes

Section 7: The Phenomenon of Free Will

Page 750 Page 751 Page 752Notes

Section 8: Undecidability and Intractability

Page 753 Page 754 Page 755 Page 756 Page 757 Page 758 Page 759 Page 760 Page 761 Page 762 Page 763 Page 764 Page 765 Page 766 Page 767 Page 768 Page 769 Page 770 Page 771Notes

Section 9: Implications for Mathematics and Its Foundations

Page 772 Page 773 Page 774 Page 775 Page 776 Page 777 Page 778 Page 779 Page 780 Page 781 Page 782 Page 783 Page 784 Page 785 Page 786 Page 787 Page 788 Page 789 Page 790 Page 791 Page 792 Page 793 Page 794 Page 795 Page 796 Page 797 Page 798 Page 799 Page 800 Page 801 Page 802 Page 803 Page 804 Page 805 Page 806 Page 807 Page 808 Page 809 Page 810 Page 811 Page 812 Page 813 Page 814 Page 815 Page 816 Page 817 Page 818 Page 819 Page 820 Page 821Notes

Section 10: Intelligence in the Universe

Page 822 Page 823 Page 824 Page 825 Page 826 Page 827 Page 828 Page 829 Page 830 Page 831 Page 832 Page 833 Page 834 Page 835 Page 836 Page 837 Page 838 Page 839Notes

Section 11: Implications for Technology

Page 841 Page 842 Page 843Notes

Section 12: Historical Perspectives

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From Stephen Wolfram: A New Kind of Science [citation]